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Table 4 Granger causality test results

From: The interaction between standards development and economic growth of China

Null hypothesis

χ2 value

p value

Null hypothesis

χ2 value

p value

LNPGBeypothe

19.42

0.007***

LNPCB***othe

16.30

0.006***

LNPGDP**othe

23.86

0.000***

LNPGDP**othe

12.06

0.017**

LNPGB***othe

12.41

0.030**

LNPCB***othe

27.51

0.004***

LNPEXP**othe

23.25

0.000***

LNPEXP**othe

45.95

0.000***

LNPGB***othe

18.56

0.005***

LNPCB***othe

14.65

0.012**

LNPIMP**othe

26.25

0.000***

LNPIMP**othe

13.15

0.022**

LNPGB --- LNPPAT

18.44

0.000***

LNPCB***- LN

27.26

0.000***

LNPPAT --- LNPGB

15.43

0.009***

LNPPAT**-- L

14.87

0.010**

LNPMOD**-- LN

35.05

0.000***

LNPIDT**-- LN

20.08

0.001***

LNPGDP**-- LN

12.34

0.030**

LNPGDP**-- LN

9.68

0.022**

LNPMOD**-- LN

25.77

0.007***

LNPIDT**-- LN

24.22

0.001***

LNPEXP**-- LN

11.37

0.045***

LNPEXP**-- LN

7.18

0.067*

LNPMOD**-- LN

22.19

0.001***

LNPIDT**-- LN

16.31

0.006***

LNPIMP**-- LN

10.97

0.052*

LNPIMP**-- LN

20.30

0.000***

LNPMOD --- LNPPAT

23.90

0.000***

LNPIDT**-- LN

14.04

0.003***

LNPPAT --- LNPMOD

9.69

0.084*

LNPPAT --- LN

8.15

0.086*

  1. *, **, and *** represent the significance level of 10%, 5%, and 1% respectively (*p < 0.10; **p < 0.05; ***p < 0.001)